1. Determine the derivative for y = | a. d. 中正中正 中正中正

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
-4x
Determine the derivative
for y =
4
1.
a. dy
c. dy
-4x
dz
b. dy
dx
16
4x
d.
dx
Determine the derivative
dx
of y
= 3*.
2.
a. dy
dx
b. dy
c. dy
= 4(3*)
4(3**) In 4
%3D
%3!
dx
d. dy
da = (3*)n4
4(3**) In 3
dx
%3!
Which of the following functions is always decreasing?
а. Аа) - (34)*
b. fа) - (34)*
c. Ax) = (-3.4)*
d. fx) = (3.4)* - 1
dy
Determine the derivative
of y = 3*+6
4.
dx
a. dy
dz
b. dy
c. dy
-6(3 6***)In 3
--6(3 ***) In 6
dx
d. dy
-(3 6***)In 3
-3(3***) In 6
9+2
dx
dx
Determine the derivative
dx
for y = 5 sin(2x - 4).
5.
c. dy
a. dy
dx
b. dy
dx
= 5 cos(2x – 4)
-5 sin(2x – 4)
%3D
%3D
dx
d. dy
dx
= -10 sin(2x – 4)
10 cos(2x – 4)
3.
Transcribed Image Text:-4x Determine the derivative for y = 4 1. a. dy c. dy -4x dz b. dy dx 16 4x d. dx Determine the derivative dx of y = 3*. 2. a. dy dx b. dy c. dy = 4(3*) 4(3**) In 4 %3D %3! dx d. dy da = (3*)n4 4(3**) In 3 dx %3! Which of the following functions is always decreasing? а. Аа) - (34)* b. fа) - (34)* c. Ax) = (-3.4)* d. fx) = (3.4)* - 1 dy Determine the derivative of y = 3*+6 4. dx a. dy dz b. dy c. dy -6(3 6***)In 3 --6(3 ***) In 6 dx d. dy -(3 6***)In 3 -3(3***) In 6 9+2 dx dx Determine the derivative dx for y = 5 sin(2x - 4). 5. c. dy a. dy dx b. dy dx = 5 cos(2x – 4) -5 sin(2x – 4) %3D %3D dx d. dy dx = -10 sin(2x – 4) 10 cos(2x – 4) 3.
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